Search a number
-
+
406266142134540 = 223525183268875923
BaseRepresentation
bin101110001011111110011010…
…1000101100001000100001100
31222021110122220222011220220010
41130113330311011201010030
5411222231024341301130
64000020031131353220
7151400521506154152
oct13427746505410414
91867418828156803
10406266142134540
111084a3559997956
1239695124bb2810
131458c96acc971c
147247559a193d2
1531e7dac1000b0
hex1717f3516110c

406266142134540 has 48 divisors (see below), whose sum is σ = 1137590373362688. Its totient is φ = 108333335484864.

The previous prime is 406266142134527. The next prime is 406266142134553. The reversal of 406266142134540 is 45431241662604.

It is an interprime number because it is at equal distance from previous prime (406266142134527) and next prime (406266142134553).

It is a super-2 number, since 2×4062661421345402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406266142134540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132926982 + ... + 135948941.

It is an arithmetic number, because the mean of its divisors is an integer number (23699799445056).

Almost surely, 2406266142134540 is an apocalyptic number.

It is an amenable number.

406266142134540 is an abundant number, since it is smaller than the sum of its proper divisors (731324231228148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406266142134540 is a wasteful number, since it uses less digits than its factorization.

406266142134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268901118 (or 268901116 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 406266142134540 in words is "four hundred six trillion, two hundred sixty-six billion, one hundred forty-two million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 25183 50366 75549 100732 125915 151098 251830 302196 377745 503660 755490 1510980 268875923 537751846 806627769 1075503692 1344379615 1613255538 2688759230 3226511076 4033138845 5377518460 8066277690 16132555380 6771102368909 13542204737818 20313307106727 27084409475636 33855511844545 40626614213454 67711023689090 81253228426908 101566535533635 135422047378180 203133071067270 406266142134540